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Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn't receive a certificate. Show all work to determine whether Marcus' score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
Calculate the test statistic.
Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)
A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?
Find the test value for two population variances
Suppose we are producing copper wire and putting the wire on spools. Each spool contains 100 feet of wire. Defects such as nicks in the wire can occur at random locations. What would be a reasonble distribution for each of the following: (a) the n..
Write a recursice algorithm to find x^n mod m whenever n,x and m are positive integers based on the fact that : x^n mod m = (x^(x-1) mod m * x mod m)mod m
Evaluate the iterated integral. Evaluate the double integral
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round you answer to four decimal places. Enter your answers as a comma-separated list.)
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
Show that for n less than or equal to 4, any Latin square of order n can be obtained from the multiplication table of a group by permuting rows, columns, and symbols.
Suppose a bullet is fired on a distant planet so that its height (in feet) after t seconds is given by h=-4t2 + 16t +5. The 2 in 4t2 is a small 2, but I don't know how to do that with my keyboard.
Let C be the line segment form P(1,0,2) to Q(-2,3,1), and let F be the force given by F(x,y,z)= 2zi - yj + 2xk. Find the work done by F in moving a particle along C.
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